# How do you simplify (1/2) /( x^3y^3)?

May 19, 2017

See a solution process below:

#### Explanation:

We can rewrite this expression as:

$\frac{\frac{1}{2}}{\frac{{x}^{3} {y}^{3}}{1}}$

We can now use this rule for dividing fractions to simplify this expression:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}{\frac{\textcolor{g r e e n}{c}}{\textcolor{p u r p \le}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{p u r p \le}{d}}{\textcolor{b l u e}{b} \times \textcolor{g r e e n}{c}}$

$\frac{\frac{\textcolor{red}{1}}{\textcolor{b l u e}{2}}}{\frac{\textcolor{g r e e n}{{s}^{3} {y}^{3}}}{\textcolor{p u r p \le}{1}}} = \frac{\textcolor{red}{1} \times \textcolor{p u r p \le}{1}}{\textcolor{b l u e}{2} \times \textcolor{g r e e n}{{x}^{3} {y}^{3}}} \implies \frac{1}{2 {x}^{3} {y}^{3}}$